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Finding the Fourth Proportional to 2,788.61, 4,183.65 and 840.87

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Solution

The fourth proportional to 2,788.61, 4,183.65 and 840.87 is: 1,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.61 : 4,183.65 = 840.87 : x
  2. Step 2: Convert to fraction form
    2,788.61/4,183.65 = 840.87/x
  3. Step 3: Cross multiply
    2,788.61x = 4,183.65 × 840.87
  4. Step 4: Simplify right side
    2,788.61x = 3,517,905.78
  5. Step 5: Solve for x
    x = 3,517,905.78/2,788.61
  6. Step 6: Final answer
    x = 1,261.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.